Finding the Third Proportional to 221,413.50 and 471,825

Step by Step Solution

1. Step 1: Write the proportion equation
   221,413.50 : 471,825 = 471,825 : x
2. Step 2: Convert to fraction form
   221,413.50/471,825 = 471,825/x
3. Step 3: Cross multiply
   221,413.50x = 471,825 × 471,825
4. Step 4: Simplify right side
   221,413.50x = 222,618,830,625
5. Step 5: Solve for x
   x = 222,618,830,625/221,413.50
6. Step 6: Final answer
   x = 1,005,443.80